441720384 has 112 divisors (see below), whose sum is σ = 1414320768. Its totient is φ = 118775808.

The previous prime is 441720371. The next prime is 441720397. The reversal of 441720384 is 483027144.

It is an interprime number because it is at equal distance from previous prime (441720371) and next prime (441720397).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×441720384² = 390233795282214912, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13182 + ... + 32514.

It is an arithmetic number, because the mean of its divisors is an integer number (12627864).

Almost surely, 2^441720384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441720384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707160384).

441720384 is an abundant number, since it is smaller than the sum of its proper divisors (972600384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441720384 is a wasteful number, since it uses less digits than its factorization.

441720384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19372 (or 19362 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 441720384 is about 21017.1450011651. The cubic root of 441720384 is about 761.5804966994.

The spelling of 441720384 in words is "four hundred forty-one million, seven hundred twenty thousand, three hundred eighty-four".